Overview
Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.
Full Product Details
Author: Linda Reichl
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: Softcover reprint of the original 2nd ed. 2004
Dimensions:
Width: 15.50cm
, Height: 3.50cm
, Length: 23.50cm
Weight: 1.050kg
ISBN: 9781441931634
ISBN 10: 1441931635
Pages: 675
Publication Date: 09 October 2011
Audience:
Professional and scholarly
,
College/higher education
,
Professional & Vocational
,
Tertiary & Higher Education
Replaced By: 9783030635336
Format: Paperback
Publisher's Status: Out of Print
Availability: Awaiting stock
Reviews
"From the reviews of the second edition: ""This book is an expanded and updated version … from a previous edition and reviews results on the manifestation of chaos in classical and quantum mechanics. … A very wide range of topics is covered in the book, which thus can be used as preliminary reading for research areas … . The book can also be considered as a helpful companion both for mathematicians and for physicists. … Many technical details and background notions can be found in a rich complement of appendices."" (Guido Gentile, Mathematical Reviews, Issue 2006 c)"
From the reviews of the second edition: This book is an expanded and updated version ! from a previous edition and reviews results on the manifestation of chaos in classical and quantum mechanics. ! A very wide range of topics is covered in the book, which thus can be used as preliminary reading for research areas ! . The book can also be considered as a helpful companion both for mathematicians and for physicists. ! Many technical details and background notions can be found in a rich complement of appendices. (Guido Gentile, Mathematical Reviews, Issue 2006 c)
From the reviews of the second edition: This book is an expanded and updated version ... from a previous edition and reviews results on the manifestation of chaos in classical and quantum mechanics. ... A very wide range of topics is covered in the book, which thus can be used as preliminary reading for research areas ... . The book can also be considered as a helpful companion both for mathematicians and for physicists. ... Many technical details and background notions can be found in a rich complement of appendices. (Guido Gentile, Mathematical Reviews, Issue 2006 c)
